A+ CATEGORY SCIENTIFIC UNIT

Some results on function spaces of varying smoothness

Volume 79 / 2008

Jan Schneider Banach Center Publications 79 (2008), 187-195 MSC: Primary 46E35; Secondary 42B35. DOI: 10.4064/bc79-0-15

Abstract

This paper deals with function spaces of varying smoothness $B^{\mathbb{S},s_0}_p(\mathbb{R}^n)$, where the function $\mathbb{S}:x\mapsto s(x)$ determines the smoothness pointwise. Those spaces were defined in \cite{Disse} and treated also in \cite{Scn05}. Here we prove results about interpolation, trace properties and present a characterization of these spaces based on differences.

Authors

  • Jan SchneiderMax-Planck-Institute for Mathematics in the Science
    Inselstrasse 22
    04103 Leipzig, Germany
    e-mail

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